9971288011201 has 16 divisors (see below), whose sum is σ = 11199077498880. Its totient is φ = 8798248010880.

The previous prime is 9971288011193. The next prime is 9971288011213. The reversal of 9971288011201 is 1021108821799.

It is a cyclic number.

It is not a de Polignac number, because 9971288011201 - 2³ = 9971288011193 is a prime.

It is a super-3 number, since 3×9971288011201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9971288011261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29784001 + ... + 30116926.

It is an arithmetic number, because the mean of its divisors is an integer number (699942343680).

Almost surely, 2^{9971288011201} is an apocalyptic number.

It is an amenable number.

9971288011201 is a deficient number, since it is larger than the sum of its proper divisors (1227789487679).

9971288011201 is a wasteful number, since it uses less digits than its factorization.

9971288011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59901384.

The product of its (nonzero) digits is 145152, while the sum is 49.

The spelling of 9971288011201 in words is "nine trillion, nine hundred seventy-one billion, two hundred eighty-eight million, eleven thousand, two hundred one".